For how long a force of 20 N will act on a body of mass 10 kg, so that its velocity increasesfrom 0 to 100 m/s?

To determine the time for which a force of 20 N will act on a body of mass 10 kg, so that its velocity increases from 0 to 100 m/s, we can use Newton's second law of motion.

Step 1: Calculate the acceleration of the body. Using Newton's second law, we can calculate the acceleration (a) of the body using the formula F = ma, where F is the force and m is the mass. Given: Force (F) = 20 N Mass (m) = 10 kg

Substituting the values into the formula: 20 N = 10 kg * a

Solving for acceleration: a = 20 N / 10 kg a = 2 m/s^2

Step 2: Calculate the time taken to reach the desired velocity. We can use the equation of motion v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time taken.

Given: Initial velocity (u) = 0 m/s Final velocity (v) = 100 m/s Acceleration (a) = 2 m/s^2

Substituting the values into the equation: 100 m/s = 0 m/s + 2 m/s^2 * t

Simplifying the equation: 100 m/s = 2 m/s^2 * t

Dividing both sides by 2 m/s^2: 50 s = t

Therefore, the force of 20 N will act on the body for 50 seconds to increase its velocity from 0 to 100 m/s.